COMPLETIONS OF MONOIDS WITH APPLICATIONS TO THE CUNTZ SEMIGROUP-Reference-Cited by-同舟云学术

COMPLETIONS OF MONOIDS WITH APPLICATIONS TO THE CUNTZ SEMIGROUP

Published:2011-06 Issue:06 Volume:22 Page:837-861
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

ANTOINE RAMON¹,BOSA JOAN¹,PERERA FRANCESC¹

Affiliation:

1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain

Abstract

We provide an abstract categorical framework that relates the Cuntz semigroups of the C*-algebras A and [Formula: see text]. This is done through a certain completion of ordered monoids by adding suprema of countable ascending sequences. Our construction is rather explicit and we show it is functorial and unique up to isomorphism. This approach is used in some applications to compute the stabilized Cuntz semigroup of certain C*-algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X11007057

Reference20 articles.

1. Contemporary Mathematics;Ara P.,2006

2. Comparison theory for simple C*-algebras

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